Noii, N., Aghayan, I., Hajirasouliha, I. et al. (1 more author) (2017) A new hybrid method for size and topology optimization of truss structures using modified ALGA and QPGA. Journal of Civil Engineering and Management, 23 (2). pp. 252-262. ISSN 1392-3730
Abstract
Modified Augmented Lagrangian Genetic Algorithm (ALGA) and Quadratic Penalty Function Genetic Algorithm (QPGA) optimization methods are proposed to obtain truss structures with minimum structural weight using both continuous and discrete design variables. To achieve robust solutions, Compressed Sparse Row (CSR) with reordering of Cholesky factorization and Moore Penrose Pseudoinverse are used in case of non-singular and singular stiffness matrix, respectively. The efficiency of the proposed nonlinear optimization methods is demonstrated on several practical examples. The results obtained from the Pratt truss bridge show that the optimum design solution using discrete parameters is 21% lighter than the traditional design with uniform cross sections. Similarly, the results obtained from the 57-bar planar tower truss indicate that the proposed design method using continuous and discrete design parameters can be up to 29% and 9% lighter than traditional design solutions, respectively. Through sensitivity analysis, it is shown that the proposed methodology is robust and leads to significant improvements in convergence rates, which should prove useful in large-scale applications.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Vilnius Gediminas Technical University (VGTU) Press. This is an author produced version of a paper subsequently published in Journal of Civil Engineering and Management. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | structural optimization; finite element analysis; augmented Lagrangian; quadratic penalty function; hybrid genetics algorithm |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 01 Dec 2015 14:27 |
Last Modified: | 01 Jul 2017 16:32 |
Published Version: | http://dx.doi.org/10.3846/13923730.2015.1075420 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.3846/13923730.2015.1075420 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:92310 |